We consider the evolution of traversable wormhole geometries in the inflationary, radiation – and matter – dominated eras, and dynamic wormholes with a traceless energy–momentum tensor (EMT), within the recently proposed pole dark energy model. We show that the evolving radiation – and matter – dominated wormhole space times satisfy the null energy condition (NEC), but possess negative energy densities at late times, thus violating the weak energy condition (WEC) in this specific domain. However, we demonstrate with a specific example that the traceless EMT evolving wormholes, supported by conformally invariant massless fields, in principle, could satisfy the WEC, and consequently the NEC, at all times and for all values of the radial coordinate. Thus, one may imagine a scenario in which these geometries originate in the Planckian era through quantum gravitational processes. Inflation could then provide a natural mechanism for the enlargement of these Planckian wormholes, where their FLRW background evolution is governed by pole dark energy. For the first time in the literature, specific dynamical 4-dimensional solutions are presented that satisfy the NEC and WEC everywhere and everywhen.

在最近提出的极暗能量范围内，我们考虑了通货膨胀，辐射和物质为主的时代中可穿越的虫洞几何形状的演变以及具有无痕能量动量张量（EMT）的动态虫洞的演变模型。我们表明，以辐射（和物质）为主的演化虫孔时空满足零能量条件（NEC），但在后期却具有负能量密度，从而违反了该特定领域中的弱能量条件（WEC）。但是，我们通过一个特定的例子证明，在无形的无质量场的支持下，无痕EMT演化的虫洞原则上可以始终满足WEC，因此满足NEC，并且适用于所有径向坐标值。因此，可以想象一种场景，其中这些几何形状是通过量子引力过程起源于普朗克时代的。然后，通货膨胀可以为这些普朗克虫洞的扩大提供一个自然的机制，其FLRW背景演变受极暗能量支配。这是文学史上的第一次